We look at the division of 512365 by 83 
We want to divide 512365 by 83.

Advancing to step 1:
If we divide 5 by 83, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 83

Moving on to step 2:
If we divide 51 by 83, we get 0 and a remainder of 51.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 51, we end up with 51.
Fetch the next digit (2) from the dividend, attach it to 51 and continue: 512 / 83

On to step 3:
512 divided by 83 is 6 with a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we take 498 away from 512, we end up with 14.
Fetch the next digit (3) from the dividend, attach it to 14 and continue: 143 / 83

Let's proceed to step 4:
The number 83 fits into 143 1 times, leaving a remainder of 60.
The number 1 becomes the next digit in our result. 
Result so far: 61.0
Deduct 83 from 143 and we're left with 60.
Grab the next digit (6) from the dividend, add it to 60, then carry on: 606 / 83

Step 5:
606 divided by 83 is 7 with a remainder of 25.
Put 7 as the next digit of the answer. 
Result so far: 617.0
Subtract 581 from 606 to get 25.
Fetch the next digit (5) from the dividend, attach it to 25 and continue: 255 / 83

Step 6:
When dividing 255 by 83, we get 3 with a remainder of 6.
The next digit of our result is 3. 
Result so far: 6173.0
Subtract 249 from 255 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 7:
83 goes into 60 0 times with a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 6173.0
Subtracting 0 from 60 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 8:
83 goes into 600 7 times with a remainder of 19.
Put 7 as the next digit of the answer. 
Result so far: 6173.07
If we take 581 away from 600, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 9:
When dividing 190 by 83, we get 2 with a remainder of 24.
The next digit of our result is 2. 
Result so far: 6173.072
Subtract 166 from 190 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 10:
83 can be fit into 240 2 times, resulting in a remainder of 74.
Write down 2 as next digit of the result. 
Result so far: 6173.0722
Deduct 166 from 240 and we're left with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

The final outcome is 6173.0722, with a leftover of 0.00074.